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Finding the Fourth Proportional to 11,339.34, 15,648.61 and 6,863.90

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Solution

The fourth proportional to 11,339.34, 15,648.61 and 6,863.90 is: 9,472.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,339.34 : 15,648.61 = 6,863.90 : x
  2. Step 2: Convert to fraction form
    11,339.34/15,648.61 = 6,863.90/x
  3. Step 3: Cross multiply
    11,339.34x = 15,648.61 × 6,863.90
  4. Step 4: Simplify right side
    11,339.34x = 107,410,494.18
  5. Step 5: Solve for x
    x = 107,410,494.18/11,339.34
  6. Step 6: Final answer
    x = 9,472.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.